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Finding the Third Proportional to 570,376 and 797,464

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Solution

The third proportional to 570,376 and 797,464 is: 1,114,964.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,376 : 797,464 = 797,464 : x
  2. Step 2: Convert to fraction form
    570,376/797,464 = 797,464/x
  3. Step 3: Cross multiply
    570,376x = 797,464 × 797,464
  4. Step 4: Simplify right side
    570,376x = 635,948,831,296
  5. Step 5: Solve for x
    x = 635,948,831,296/570,376
  6. Step 6: Final answer
    x = 1,114,964.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.